12 citations · 76 across the 61 of their papers we have counts for
Showing 2016 · math.RAShow all
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math.RA2016
Chromatic polynomials and bialgebras of graphs
Loïc Foissy
The chromatic polynomial is characterized as the unique polynomial invariant of graphs, compatible with two interacting bialgebras structures: the first coproduct is given by parti…
math.RA2016
Lie theory for quasi-shuffle bialgebras
Loïc Foissy, Frédéric Patras
Many features of classical Lie theory generalize to the broader context of algebras over Hopf operads. However, this idea remains largely to be developed systematically. Quasi-shuf…
math.RA2016★ 3 cited
Commutative and non-commutative bialgebras of quasi-posets and applications to Ehrhart polynomials
Loïc Foissy
To any poset or quasi-poset is attached a lattice polytope, whose Ehrhart polynomial we study from a Hopf-algebraic point of view. We use for this two interacting bialgebras on qua…